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Simplifying -10n(1 + -9x) + 6(x + -10) = 0 (1 * -10n + -9x * -10n) + 6(x + -10) = 0 (-10n + 90nx) + 6(x + -10) = 0 Reorder the terms: -10n + 90nx + 6(-10 + x) = 0 -10n + 90nx + (-10 * 6 + x * 6) = 0 -10n + 90nx + (-60 + 6x) = 0 Reorder the terms: -60 + -10n + 90nx + 6x = 0 Solving -60 + -10n + 90nx + 6x = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '60' to each side of the equation. -60 + -10n + 90nx + 60 + 6x = 0 + 60 Reorder the terms: -60 + 60 + -10n + 90nx + 6x = 0 + 60 Combine like terms: -60 + 60 = 0 0 + -10n + 90nx + 6x = 0 + 60 -10n + 90nx + 6x = 0 + 60 Combine like terms: 0 + 60 = 60 -10n + 90nx + 6x = 60 Add '-6x' to each side of the equation. -10n + 90nx + 6x + -6x = 60 + -6x Combine like terms: 6x + -6x = 0 -10n + 90nx + 0 = 60 + -6x -10n + 90nx = 60 + -6x Reorder the terms: -60 + -10n + 90nx + 6x = 60 + -6x + -60 + 6x Reorder the terms: -60 + -10n + 90nx + 6x = 60 + -60 + -6x + 6x Combine like terms: 60 + -60 = 0 -60 + -10n + 90nx + 6x = 0 + -6x + 6x -60 + -10n + 90nx + 6x = -6x + 6x Combine like terms: -6x + 6x = 0 -60 + -10n + 90nx + 6x = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-30 + -5n + 45nx + 3x) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-30 + -5n + 45nx + 3x)' equal to zero and attempt to solve: Simplifying -30 + -5n + 45nx + 3x = 0 Solving -30 + -5n + 45nx + 3x = 0 Move all terms containing n to the left, all other terms to the right. Add '30' to each side of the equation. -30 + -5n + 45nx + 30 + 3x = 0 + 30 Reorder the terms: -30 + 30 + -5n + 45nx + 3x = 0 + 30 Combine like terms: -30 + 30 = 0 0 + -5n + 45nx + 3x = 0 + 30 -5n + 45nx + 3x = 0 + 30 Combine like terms: 0 + 30 = 30 -5n + 45nx + 3x = 30 Add '-3x' to each side of the equation. -5n + 45nx + 3x + -3x = 30 + -3x Combine like terms: 3x + -3x = 0 -5n + 45nx + 0 = 30 + -3x -5n + 45nx = 30 + -3x The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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